FSMQ. Foundations of Advanced Mathematics (MEI) Mark Scheme and Report on the Unit. June /MS/R/08 INTERMEDIATE FSMQ 6989

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1 FSMQ Foundations of Advanced Mathematics (MEI) INTERMEDIATE FSMQ 6989 Mark Scheme and Report on the Unit June /MS/R/08 Oxford Cambridge and RSA Examinations

2 OCR (Oxford, Cambridge and RSA Examinations) is a unitary awarding body, established by the University of Cambridge Local Examinations Syndicate and the RSA Examinations Board in January OCR provides a full range of GCSE, A level, GNVQ, Key Skills and other qualifications for schools and colleges in the United Kingdom, including those previously provided by MEG and OCEAC. It is also responsible for developing new syllabuses to meet national requirements and the needs of students and teachers. This mark scheme is published as an aid to teachers and students, to indicate the requirements of the examination. It shows the basis on which marks were awarded by Examiners. It does not indicate the details of the discussions which took place at an Examiners meeting before marking commenced. All Examiners are instructed that alternative correct answers and unexpected approaches in candidates scripts must be given marks that fairly reflect the relevant knowledge and skills demonstrated. Mark schemes should be read in conjunction with the published question papers and the Report on the Examination. OCR will not enter into any discussion or correspondence in connection with this mark scheme. OCR 2008 Any enquiries about publications should be addressed to: OCR Publications PO Box 5050 Annesley NOTTINGHAM NG15 0DL Telephone: Facsimile: publications@ocr.org.uk

3 CONTENTS Foundations of Advanced Mathematics FSMQ (6989) MARK SCHEME AND REPORT ON THE UNIT Unit Page Foundations of Advanced Mathematics Grade Thresholds 4

4 Mark Scheme and Report on the Unit taken in June 2008 Foundations of Advanced Mathematics 6989 Report, June, 2008 There were 1300 entries for this session, a significant increase from previous years. The mean mark was The minimum mark scored by 3 candidates was 6 and the maximum mark was 39, scored by 6 candidates. There were 16 questions for which at least one candidate offered no answer but these were scattered throughout the paper so this did not provide any evidence that candidates found the paper too long. Unusually, in Q3 (Electrician s charges) no candidate offered response A as an answer. In all other questions each of the distracting answers was selected by at least one candidate. In 5 questions the wrong response was selected by more candidates than the right response, and in 11 others fewer than 50% chose the correct response. Q22 (Indices) Only 39% of the candidature thought that = 6 5 was false, while 43% clearly found hard to calculate and decided that it was not 23. Q27 (maximum and minimum values) Only 23% gave the correct response here, with 25% and 32% giving incorrect values. The idea of the least value of a fraction requiring the least numerator and greatest denominator is a concept that many have not grasped. Q29 (Distance - time graph) This question required candidates to draw the line representing a journey on top of one already drawn to see where they intersected. The question stated explicitly that Bob left Queentown for Portville before Andy, riding from Portville to Queentown, had arrived, yet 43% of candidates thought that they did not pass each other. Although we do not have their graphs (which were drawn on the question paper which is not handed in) one must presume that the majority of these misread the question and thought that the two were travelling in the same direction. Q34 (Solution sets to inequalities) Equal numbers chose the right answer and one of the wrong ones, but even more (37%) chose the response 2 < n + 6 < 10 4 < n < 4 as false. Q40 (Probability) The non-replacement probability was chosen to be false by marginally more candidates than those choosing the correct response. As in previous sessions I offer a summary of questions and topics with the approximate percentage of candidates giving the correct responses. I noted in my January report that the questions on trigonometry had not been answered well. The situation is no better this session! 1

5 Mark Scheme and Report on the Unit taken in June 2008 Question Topic % 10 Statistics - pie chart 81 90% 1 Arithmetic 5 Algebra 12 Arithmetic - order of operations 71-80% 2 Arithmetic - decimal places and significant figures 3 Arithmetic - electrician s charges 6 Arithmetic 8 Algebra - linear sequence 13 Graphs - conversion graph 25 Algebra - substitution of numbers into expressions 61-70% 4 Arithmetic - standard form 11 Statistics - interpretation of bar chart 19 Vectors 20 Statistics - formation of frequency table 30 Graphs - intersection of two lines, one of which had to be drawn 37 Algebra - solution of equations 51-60% 14 Statistics - average and spread of grouped data 16 Algebra - identities 21 Algebra - powers 26 Arithmetic - mensuration 31 Algebra - solution of quadratic equations 33 Algebra - solution of linear simultaneous equations 36 Arithmetic - ratios 38 Statistics - sampling 41-50% 7 Arithmetic - rounding of numbers 9 Arithmetic - conversion of units 17 Arithmetic - Pythagoras in a circle 18 Algebra - rearranging formulae 24 Graphs - completion of a cubic curve 29 Graphs - time distance graph 32 Algebra 31-40% 15 Trigonometry - sin and cosine rules 22 Arithmetic - indices 23 Algebra - simplification of an expression 35 Trigonometry - Pythagoras in 3-D diagram 39 Vectors 40 Probability 21-30% 27 Arithmetic - maximum and minimum values 28 Trigonometry - trig ratios of angles greater than Algebra - solutions of inequalities 2

6 Mark Scheme and Report on the Unit taken in June 2008 Answers 1 D 21 B 2 C 22 A 3 D 23 B 4 D 24 C 5 A 25 D 6 C 26 A 7 D 27 A 8 C 28 D 9 D 29 C 10 A 30 A 11 B 31 A 12 A 32 B 13 D 33 D 14 B 34 B 15 B 35 A 16 B 36 D 17 B 37 B 18 C 38 A 19 B 39 A 20 C 40 B 3

7 Grade Thresholds Unit Threshold Marks June 2008 Unit Maximum Mark A B C D E U The cumulative percentage of candidates awarded each grade was as follows: A B C D E U Total Number of Candidates

8 OCR (Oxford Cambridge and RSA Examinations) 1 Hills Road Cambridge CB1 2EU OCR Customer Contact Centre Qualifications (General) Telephone: Facsimile: general.qualifications@ocr.org.uk For staff training purposes and as part of our quality assurance programme your call may be recorded or monitored Oxford Cambridge and RSA Examinations is a Company Limited by Guarantee Registered in England Registered Office; 1 Hills Road, Cambridge, CB1 2EU Registered Company Number: OCR is an exempt Charity OCR (Oxford Cambridge and RSA Examinations) Head office Telephone: Facsimile: OCR 2008

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education GCSE Mathematics B (Linear) Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education Mark Scheme for November 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge